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The goal of spin foam models is to provide a viable path integral formulation of quantum gravity. Because of background independence, their underlying framework has certain novel features that are not shared by path integral formulations of…

广义相对论与量子宇宙学 · 物理学 2011-01-25 Abhay Ashtekar , Miguel Campiglia , Adam Henderson

We construct and study a simple noncommutative scheme (theta-deformation) for the effective Loop Quantum Cosmology of the flat Friedmann-Lema\^itre-Robertson-Walker model in the presence of a homogeneous scalar field $\phi$ with a potential…

广义相对论与量子宇宙学 · 物理学 2021-07-14 Luis Rey Díaz-Barrón , Abraham Espinoza-García , S. Pérez-Payán , J. Socorro

A model for a flat isotropic universe with a negative cosmological constant $\Lambda$ and a massless scalar field as sole matter content is studied within the framework of Loop Quantum Cosmology. By application of the methods introduced for…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Eloisa Bentivegna , Tomasz Pawlowski

We propose a new derivation from the full Loop Quantum Gravity (LQG) to the Loop Quantum Cosmology (LQC) improved $\bar{\mu}$-scheme effective dynamics, based on the reduced phase space formulation of LQG and a proposal of effective…

广义相对论与量子宇宙学 · 物理学 2020-09-30 Muxin Han , Hongguang Liu

We construct and study Loop Quantum Cosmology (LQC) when the Barbero-Immirzi parameter takes the complex value $\gamma=\pm i$. We refer to this new quantum cosmology as complex Loop Quantum Cosmology. We proceed in making an analytic…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Jibril Ben Achour , Julien Grain , Karim Noui

We consider curved space quantum corrections to the equations of motion of the inflaton field in the early Universe. Using the stochastic formalism in phase space, we demonstrate that the quantum corrected evolution of the inflaton can…

高能物理 - 唯象学 · 物理学 2009-09-25 Zygmunt Lalak , Rudolf Poppe

An appealing feature of inflationary cosmology is the presence of a phase-space attractor, "slow roll", which washes out the dependence on initial field velocities. We investigate the robustness of this property under backreaction from…

广义相对论与量子宇宙学 · 物理学 2021-04-05 Julien Grain , Vincent Vennin

In scenarios of physical interest in Loop Quantum Cosmology, with a preinflationary epoch where the kinetic energy of the inflaton dominates, the analytic study of the dynamics of the primordial fluctuations has been carried out by…

广义相对论与量子宇宙学 · 物理学 2023-11-03 Beatriz Elizaga Navascués , Guillermo A. Mena Marugán , Jesús Yébana Carrilero

The detailed formulation for loop quantum cosmology (LQC) in the Bianchi I model with a massless scalar field was recently constructed. In this paper, its effective dynamics with the LQC discreteness corrections is studied and the equations…

广义相对论与量子宇宙学 · 物理学 2007-09-12 Dah-Wei Chiou

In this paper we investigate the asymptotic dynamics of inflationary cosmological models that are based in scalar-tensor theories of gravity. Our main aim is to explore the global structure of the phase space in the framework of…

广义相对论与量子宇宙学 · 物理学 2020-05-20 Israel Quiros , Tame Gonzalez , Roberto De Arcia , Ricardo García-Salcedo , Ulises Nucamendi , Joel F. Saavedra

Proposing smooth initial conditions is one of the most important tasks in quantum cosmology. On the other hand, the low-energy effective action, appearing in the semiclassical path integral, can get nontrivial quantum corrections near…

广义相对论与量子宇宙学 · 物理学 2018-11-07 Suddhasattwa Brahma , Dong-han Yeom

Since the standard inflationary paradigm is based on quantum field theory on classical space-times, it excludes the Planck era. Using techniques from loop quantum gravity, the paradigm is extended to a self-consistent theory from the Planck…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Ivan Agullo , Abhay Ashtekar , William Nelson

The full set of cosmological observables coming from linear scalar and tensor perturbations of loop quantum cosmology is computed in the presence of inverse-volume corrections. Background inflationary solutions are found at linear order in…

广义相对论与量子宇宙学 · 物理学 2011-03-28 Martin Bojowald , Gianluca Calcagni

In this paper, we study the pre-inflationary dynamics for the power-law potential $(V(\phi) \propto \phi^n)$ with $n<2$ in the framework of loop quantum cosmology. In the case where the kinetic energy of the inflaton dominates at the…

广义相对论与量子宇宙学 · 物理学 2018-01-03 M. Shahalam , Manabendra Sharma , Qiang Wu , Anzhong Wang

We investigate the imprints on the angular power spectra of cosmological perturbations of a pre-inflationary bounce phase, as described by the hybrid and dressed metric approaches to loop quantum cosmology. For this purpose, we derive a new…

广义相对论与量子宇宙学 · 物理学 2026-05-15 Almudena Guillén , Kai Langer , Guillermo A. Mena Marugán , Niklas Rodenbücher , Antonio Vicente-Becerril

This study examines how inflationary dynamics are affected by $f(R)$ theories with a non-minimal coupling between matter and curvature. Both positive and negative corrections to the minimal coupling of General Relativity are considered, and…

广义相对论与量子宇宙学 · 物理学 2026-01-29 Miguel Barroso Varela , Orfeu Bertolami , Andreas Mantziris

For simple inflationary models, we provide a consistent and complete scheme by which the macro-physical details of early universe inflation may be determined explicitly from the underlying micro-physical theory. We examine inflationary…

高能物理 - 唯象学 · 物理学 2007-05-23 D. Cormier

We compare the primordial scalar power spectra in the loop cosmological models using the effective dynamics of the hybrid approach to cosmological perturbations in which the background is loop quantized but the perturbations are Fock…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Bao-Fei Li , Javier Olmedo , Parampreet Singh , Anzhong Wang

We review inflationary cosmology in modified gravity such as $R^2$ gravity with its extensions in order to generalize the Starobinsky inflation model. In particular, we explore inflation realized by three kinds of effects: modification of…

高能物理 - 理论 · 物理学 2015-03-11 Kazuharu Bamba , Sergei D. Odintsov

The detailed formulation for loop quantum cosmology (LQC) in the Bianchi I model with a scalar massless field has been constructed. In this paper, its effective dynamics is studied in two improved strategies for implementing the LQC…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dah-Wei Chiou